The asymptotic structure of electromagnetism in higher spacetime dimensions

Understand

We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions $\geq 4$.

• We focus on $d>4$ since the case $d=4$ has been studied previously at length.
• We first consider spatial infinity where we provide explicit boundary conditions that admit the known physical solutions and make the formalism well defined (finite symplectic structure and charges).
• Contrary to the situation found in $d=4$ dimensions, there is no need to impose parity conditions under the antipodal map on the leading order of the fields when $d>4$.